Mathematics
A, B and C are square matrices of order 2 such that AB = C.
Assertion (A): Product BA need not be equal to C.
Reason (R): Matrix multiplication is not associative.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Answer
Given, A, B and C are square matrices of order 2 such that AB = C.
Matrix multiplication is not always commutative.
∴ AB is not necessarily equal to BA.
So, BA is not necessarily equal to C.
So, assertion (A) is true.
Matrix multiplication is associative.
So, reason (R) is false.
Assertion (A) is true, but Reason (R) is false.
Hence, option 1 is the correct option.
Related Questions
A, B and C are square matrices of order 2 such that AB = C.
Assertion (A): BA = C
Reason (R): Matrix multiplication is not always commutative.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).